One month Jenny rented 6 movies and 2 video games for a total of $30. The next month she rented 3 movies and 5 video games for a total of $36. Find the rental cost for each movie and each video game.

The rental cost for each movie is $3.25 and each video game is $5.25.

Step-by-step explanation:

Let x = rental cost for each movie

y = rental cost for each video game.

As per given , we have

6x+2y= 30    (i)

3x+5y = 36     (ii)

Multiply 2 on both sides of (ii)

6x+10y=72   (iii)

Eliminate (i) from (iii)

8y=42

⇒ y= 5.25

Put y=5.25 in (ii)

3x+5(5.25)=36

⇒  3x+26.25 =36

⇒  3x = 36-26.25

⇒  3x =9.75

⇒  x = 3.25   [Divide both sides by 3]

Hence, the rental cost for each movie is $3.25 and each video game is $5.25.